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Finding the Third Proportional to 412,289 and 895,079

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Solution

The third proportional to 412,289 and 895,079 is: 1,943,215.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,289 : 895,079 = 895,079 : x
  2. Step 2: Convert to fraction form
    412,289/895,079 = 895,079/x
  3. Step 3: Cross multiply
    412,289x = 895,079 × 895,079
  4. Step 4: Simplify right side
    412,289x = 801,166,416,241
  5. Step 5: Solve for x
    x = 801,166,416,241/412,289
  6. Step 6: Final answer
    x = 1,943,215.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.